7th grade Statistics Jeopardy Template - Free Printable
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Step-by-step solution for: 7th grade Statistics Jeopardy Template
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Show Answer Key & Explanations
Step-by-step solution for: 7th grade Statistics Jeopardy Template
Let’s look at the box plots for Group A and Group B to compare their shopping times.
First, let’s understand what each part of a box plot means:
- The left end of the line (whisker) is the minimum value.
- The right end of the line (whisker) is the maximum value.
- The box starts at the first quartile (Q1) — that’s where 25% of the data is below it.
- The line inside the box is the median — that’s the middle value.
- The box ends at the third quartile (Q3) — that’s where 75% of the data is below it.
Now let’s read the values from the graph:
Group A (green):
- Minimum: 5 minutes
- Q1: 30 minutes
- Median: 48 minutes (approx — looks like halfway between 40 and 50, but closer to 50? Wait — actually, looking again, the median line is at 48? Let me check the scale. The ticks are every 10, so between 40 and 50 is 45. The green median line is just before 50 — maybe 48? But wait — actually, in many such graphs, they place it exactly on a tick if possible. Looking again — no, it’s not on a tick. But let’s be precise: the green median is at about 48? Actually, let’s re-express: perhaps we don’t need exact decimals. Let’s use whole numbers as shown by position.
Wait — better approach: since the axis has marks at 0,10,20,...60,70, and the points are placed visually, we can estimate:
Group A:
- Min: 5 (halfway between 0 and 10)
- Q1: 30 (exactly on 30)
- Median: 48? Or 47? Actually, looking closely — the green median dot is slightly left of 50 — maybe 48? But let’s see Group B for comparison.
Actually — let’s do this more carefully. Maybe the problem expects us to compare ranges or medians without needing exact decimal precision.
But here’s the key: the question isn’t stated! Oh — wait, the user didn’t ask a specific question. They just uploaded an image with two box plots labeled “Group A” and “Group B” over “Shopping Time (min)”.
Hmm — that’s a problem. Without a question, I can’t solve anything.
Wait — perhaps the original task was implied? Like “Compare the two groups” or “Which group has a higher median?” or “What is the range for Group B?”
Since there’s no explicit question, I must assume the most common type of question for such a graph: Compare the center (median) and spread (range or IQR) of the two groups.
So let’s proceed under that assumption — because otherwise, there’s nothing to solve.
Step-by-step:
1. Find the median for each group.
- Group A (green): The line inside the box is at approximately 48 minutes. (It’s between 40 and 50, closer to 50 — let’s say 48.)
- Group B (blue): The line inside the box is at 40 minutes exactly.
→ So Group A has a higher median shopping time than Group B.
2. Find the range (max - min) for each group.
- Group A: Max = 65 (end of whisker), Min = 5 → Range = 65 - 5 = 60 minutes.
- Group B: Max = 65 (end of whisker), Min = 8 (about — first blue dot is near 8, between 0 and 10) → Range ≈ 65 - 8 = 57 minutes.
Wait — let’s check positions again:
Looking at Group B:
- Leftmost point (min): It’s a bit past 5 — maybe 8? Since 0 to 10, and it’s not at 5, but closer to 10? No — actually, it’s about 8? Let’s say 8 for now.
- Rightmost point (max): At 65? The blue dot is at 65? The axis goes to 70, and the blue max is at 65? Yes — same as Group A’s max? Group A’s max is also at 65? Let’s confirm:
Group A max: green dot at 65? The axis: 60, then next is 70 — so 65 is halfway. Yes, both groups have max at 65.
Group A min: green dot at 5 (halfway between 0 and 10).
Group B min: blue dot — it’s a bit after 5 — maybe 8? Let’s call it 8.
So:
- Group A range: 65 - 5 = 60
- Group B range: 65 - 8 = 57
So Group A has a slightly larger range.
3. Interquartile Range (IQR) — which shows the middle 50% spread.
- Group A: Q3 - Q1 = 55 - 30 = 25? Wait — where is Q3 for Group A?
Group A box:
- Left edge (Q1): 30
- Right edge (Q3): 55? Because it’s halfway between 50 and 60? The green box ends at 55? Let’s see: the green box goes from 30 to 55? The right edge of the green box is at 55? Yes — between 50 and 60, so 55.
Median is at 48? Or is it 47.5? Doesn’t matter much.
Group B box:
- Q1: 32? The blue box starts at about 32? Between 30 and 40 — closer to 30? Actually, it’s at 32? Let’s say 32.
- Q3: 58? The blue box ends at 58? Between 50 and 60 — closer to 60? Say 58.
- Median: 40
So IQR for Group A: 55 - 30 = 25
IQR for Group B: 58 - 32 = 26
Almost the same.
But perhaps the main point is the median.
Since the problem likely wants a comparison, and the most obvious difference is the median:
Group A’s median is higher than Group B’s.
Also, Group A’s minimum is lower (5 vs 8), so Group A has some very short shopping times, but overall, the typical (median) shopping time is longer for Group A.
Final conclusion: Group A tends to shop longer than Group B, based on the median.
But to give a final answer — since no specific question was asked, I’ll state the key finding.
Final Answer:
Group A has a higher median shopping time (approximately 48 minutes) compared to Group B (40 minutes), indicating that shoppers in Group A typically spend more time shopping.
First, let’s understand what each part of a box plot means:
- The left end of the line (whisker) is the minimum value.
- The right end of the line (whisker) is the maximum value.
- The box starts at the first quartile (Q1) — that’s where 25% of the data is below it.
- The line inside the box is the median — that’s the middle value.
- The box ends at the third quartile (Q3) — that’s where 75% of the data is below it.
Now let’s read the values from the graph:
Group A (green):
- Minimum: 5 minutes
- Q1: 30 minutes
- Median: 48 minutes (approx — looks like halfway between 40 and 50, but closer to 50? Wait — actually, looking again, the median line is at 48? Let me check the scale. The ticks are every 10, so between 40 and 50 is 45. The green median line is just before 50 — maybe 48? But wait — actually, in many such graphs, they place it exactly on a tick if possible. Looking again — no, it’s not on a tick. But let’s be precise: the green median is at about 48? Actually, let’s re-express: perhaps we don’t need exact decimals. Let’s use whole numbers as shown by position.
Wait — better approach: since the axis has marks at 0,10,20,...60,70, and the points are placed visually, we can estimate:
Group A:
- Min: 5 (halfway between 0 and 10)
- Q1: 30 (exactly on 30)
- Median: 48? Or 47? Actually, looking closely — the green median dot is slightly left of 50 — maybe 48? But let’s see Group B for comparison.
Actually — let’s do this more carefully. Maybe the problem expects us to compare ranges or medians without needing exact decimal precision.
But here’s the key: the question isn’t stated! Oh — wait, the user didn’t ask a specific question. They just uploaded an image with two box plots labeled “Group A” and “Group B” over “Shopping Time (min)”.
Hmm — that’s a problem. Without a question, I can’t solve anything.
Wait — perhaps the original task was implied? Like “Compare the two groups” or “Which group has a higher median?” or “What is the range for Group B?”
Since there’s no explicit question, I must assume the most common type of question for such a graph: Compare the center (median) and spread (range or IQR) of the two groups.
So let’s proceed under that assumption — because otherwise, there’s nothing to solve.
Step-by-step:
1. Find the median for each group.
- Group A (green): The line inside the box is at approximately 48 minutes. (It’s between 40 and 50, closer to 50 — let’s say 48.)
- Group B (blue): The line inside the box is at 40 minutes exactly.
→ So Group A has a higher median shopping time than Group B.
2. Find the range (max - min) for each group.
- Group A: Max = 65 (end of whisker), Min = 5 → Range = 65 - 5 = 60 minutes.
- Group B: Max = 65 (end of whisker), Min = 8 (about — first blue dot is near 8, between 0 and 10) → Range ≈ 65 - 8 = 57 minutes.
Wait — let’s check positions again:
Looking at Group B:
- Leftmost point (min): It’s a bit past 5 — maybe 8? Since 0 to 10, and it’s not at 5, but closer to 10? No — actually, it’s about 8? Let’s say 8 for now.
- Rightmost point (max): At 65? The blue dot is at 65? The axis goes to 70, and the blue max is at 65? Yes — same as Group A’s max? Group A’s max is also at 65? Let’s confirm:
Group A max: green dot at 65? The axis: 60, then next is 70 — so 65 is halfway. Yes, both groups have max at 65.
Group A min: green dot at 5 (halfway between 0 and 10).
Group B min: blue dot — it’s a bit after 5 — maybe 8? Let’s call it 8.
So:
- Group A range: 65 - 5 = 60
- Group B range: 65 - 8 = 57
So Group A has a slightly larger range.
3. Interquartile Range (IQR) — which shows the middle 50% spread.
- Group A: Q3 - Q1 = 55 - 30 = 25? Wait — where is Q3 for Group A?
Group A box:
- Left edge (Q1): 30
- Right edge (Q3): 55? Because it’s halfway between 50 and 60? The green box ends at 55? Let’s see: the green box goes from 30 to 55? The right edge of the green box is at 55? Yes — between 50 and 60, so 55.
Median is at 48? Or is it 47.5? Doesn’t matter much.
Group B box:
- Q1: 32? The blue box starts at about 32? Between 30 and 40 — closer to 30? Actually, it’s at 32? Let’s say 32.
- Q3: 58? The blue box ends at 58? Between 50 and 60 — closer to 60? Say 58.
- Median: 40
So IQR for Group A: 55 - 30 = 25
IQR for Group B: 58 - 32 = 26
Almost the same.
But perhaps the main point is the median.
Since the problem likely wants a comparison, and the most obvious difference is the median:
Group A’s median is higher than Group B’s.
Also, Group A’s minimum is lower (5 vs 8), so Group A has some very short shopping times, but overall, the typical (median) shopping time is longer for Group A.
Final conclusion: Group A tends to shop longer than Group B, based on the median.
But to give a final answer — since no specific question was asked, I’ll state the key finding.
Final Answer:
Group A has a higher median shopping time (approximately 48 minutes) compared to Group B (40 minutes), indicating that shoppers in Group A typically spend more time shopping.
Parent Tip: Review the logic above to help your child master the concept of comparing box and whisker plots worksheet.